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Finding the Fourth Proportional to 9,573.14, 14,361.51 and 4,379

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Solution

The fourth proportional to 9,573.14, 14,361.51 and 4,379 is: 6,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.14 : 14,361.51 = 4,379 : x
  2. Step 2: Convert to fraction form
    9,573.14/14,361.51 = 4,379/x
  3. Step 3: Cross multiply
    9,573.14x = 14,361.51 × 4,379
  4. Step 4: Simplify right side
    9,573.14x = 62,889,052.29
  5. Step 5: Solve for x
    x = 62,889,052.29/9,573.14
  6. Step 6: Final answer
    x = 6,569.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.